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krek1111 [17]
3 years ago
11

2 Points

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

B

Step-by-step explanation:

First find the circumference of the circle with radius of 9 inches:

C=2\pi r=2\pi \cdot 9=18\pi \ inches

The full angle has 360°, so, to find the length of the arc DE, you can write:

360^{\circ}\ - \ 18\pi \\ \\145^{\circ}\ - \ x

which yields a proportion:

\dfrac{360}{145}=\dfrac{18\pi}{x}\\ \\360x=145\cdot 18\pi\\ \\x=\dfrac{145\cdot 18\pi }{360}=\dfrac{145\pi}{20}=7.25\pi\approx 22.8\ inches

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Please check the explanation.

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